Librería Portfolio

This textbook offers a unified and self-contained introduction to the field of term rewriting. It covers all the basic material (abstract reduction systems, termination, confluence, completion, and combination problems), but also some important and closely connected subjects: universal algebra, unification theory, Gröbner bases and Buchberger´s algorithm. The main algorithms are presented both informally and as programs in the functional language Standard ML (an appendix contains a quick and easy introduction to ML). Certain crucial algorithms like unification and congruence closure are covered in more depth and Pascal programs are developed. The book contains many examples and over 170 exercises. This text is also an ideal reference book for professional researchers: results that have been spread over many conference and journal articles are collected together in a unified notation, proofs of almost all theorems are provided, and each chapter closes with a guide to the literature.

Covers a spectrum of topics from term rewriting to unification theory and Gröbner bases
Includes many examples and exercises and working ML and Pascal programs for many of the algorithms
Gives detailed and readable proofs for most of the important results in the area



Table of Contents

Preface
1. Motivating examples
2. Abstract reduction systems
3. Universal algebra
4. Equational problems
5. Termination
6. Confluence
7. Completion
8. Gröbner bases and Buchberger´s algorithm
9. Combination problems
10. Equational unification
11. Extensions
Appendix 1. Ordered sets
Appendix 2. A bluffer´s guide to ML
Bibliography
Index.